3374235072 has 252 divisors, whose sum is σ = 11094323760. Its totient is φ = 976674816.

The previous prime is 3374235071. The next prime is 3374235101. The reversal of 3374235072 is 2705324733.

3374235072 = 423³ + 424³ + ... + 461³.

3374235072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3374235072² = 22770924642229690368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374235071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1653829 + ... + 1655867.

Almost surely, 2^3374235072 is an apocalyptic number.

3374235072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3374235072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547161880).

3374235072 is an abundant number, since it is smaller than the sum of its proper divisors (7720088688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3374235072 is a wasteful number, since it uses less digits than its factorization.

3374235072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The square root of 3374235072 is about 58088.1663680306. The cubic root of 3374235072 is about 1499.8866687709.

The spelling of 3374235072 in words is "three billion, three hundred seventy-four million, two hundred thirty-five thousand, seventy-two".